A refinement of theabcconjecture

DOI10.1112/blms/bdu069zbMath1357.11044OpenAlexW2092466483WikidataQ55968422 ScholiaQ55968422MaRDI QIDQ2933717

Gérald Tenenbaum, Olivier Robert, Cameron L. Stewart

Publication date: 5 December 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdu069

zbMATH Keywords

\(abc\)-conjecturerefinementsquarefree kernel

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Diophantine equations (11D99)

Related Items (5)

Lecture on the abc Conjecture and Some of Its Consequences ⋮ Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ \(abc\) triples ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations ⋮ Averaged forms of two conjectures of Erdős and Pomerance, and their applications

Cites Work

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• Asymptotic behaviour of the kernel of an integer
• On the Oesterlé-Masser conjecture
• A lower bound in the \(abc\) conjecture
• On the \(abc\) conjecture. II.
• About the ABC Conjecture and an alternative

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